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Simplifying 4(2x + -5) + -3(c + 10) = -15 Reorder the terms: 4(-5 + 2x) + -3(c + 10) = -15 (-5 * 4 + 2x * 4) + -3(c + 10) = -15 (-20 + 8x) + -3(c + 10) = -15 Reorder the terms: -20 + 8x + -3(10 + c) = -15 -20 + 8x + (10 * -3 + c * -3) = -15 -20 + 8x + (-30 + -3c) = -15 Reorder the terms: -20 + -30 + -3c + 8x = -15 Combine like terms: -20 + -30 = -50 -50 + -3c + 8x = -15 Solving -50 + -3c + 8x = -15 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '50' to each side of the equation. -50 + -3c + 50 + 8x = -15 + 50 Reorder the terms: -50 + 50 + -3c + 8x = -15 + 50 Combine like terms: -50 + 50 = 0 0 + -3c + 8x = -15 + 50 -3c + 8x = -15 + 50 Combine like terms: -15 + 50 = 35 -3c + 8x = 35 Add '-8x' to each side of the equation. -3c + 8x + -8x = 35 + -8x Combine like terms: 8x + -8x = 0 -3c + 0 = 35 + -8x -3c = 35 + -8x Divide each side by '-3'. c = -11.66666667 + 2.666666667x Simplifying c = -11.66666667 + 2.666666667x
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